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Finding the Fourth Proportional to 2,565.86, 3,847.91 and 1,005.44

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Solution

The fourth proportional to 2,565.86, 3,847.91 and 1,005.44 is: 1,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.86 : 3,847.91 = 1,005.44 : x
  2. Step 2: Convert to fraction form
    2,565.86/3,847.91 = 1,005.44/x
  3. Step 3: Cross multiply
    2,565.86x = 3,847.91 × 1,005.44
  4. Step 4: Simplify right side
    2,565.86x = 3,868,818.36
  5. Step 5: Solve for x
    x = 3,868,818.36/2,565.86
  6. Step 6: Final answer
    x = 1,507.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.